The term 'sigh of satisfaction' is a phrase used to describe the sound or feeling of relief and contentment. It can be expressed in three different ways: AHH, AAH, and AAAH. AHH is a short exhalation of breath, usually expressing surprise or relief. AAH is a longer exhalation of breath, usually expressing pleasure or admiration. AAAH is an even longer exhalation of breath, usually expressing joy or satisfaction. All three of these sounds are commonly used to express a sigh of satisfaction.